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149642388 = 223271913109
BaseRepresentation
bin10001110101101…
…01110010010100
3101102120121202200
420322311302110
5301302024023
622503204500
73464640120
oct1072656224
9342517680
10149642388
11775185a5
1242146730
13250051bc
1415c34580
15d20d743
hex8eb5c94

149642388 has 72 divisors (see below), whose sum is σ = 434703360. Its totient is φ = 42517440.

The previous prime is 149642387. The next prime is 149642399. The reversal of 149642388 is 883246941.

It is a happy number.

149642388 is a `hidden beast` number, since 149 + 6 + 423 + 88 = 666.

149642388 is digitally balanced in base 2, base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

149642388 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149642387) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46578 + ... + 49686.

Almost surely, 2149642388 is an apocalyptic number.

149642388 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149642388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217351680).

149642388 is an abundant number, since it is smaller than the sum of its proper divisors (285060972).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

149642388 is a wasteful number, since it uses less digits than its factorization.

149642388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3317 (or 3312 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 149642388 is about 12232.8405531994. The cubic root of 149642388 is about 530.9067047515.

The spelling of 149642388 in words is "one hundred forty-nine million, six hundred forty-two thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 191 252 382 573 764 1146 1337 1719 2292 2674 3109 3438 4011 5348 6218 6876 8022 9327 12033 12436 16044 18654 21763 24066 27981 37308 43526 48132 55962 65289 87052 111924 130578 195867 261156 391734 593819 783468 1187638 1781457 2375276 3562914 4156733 5344371 7125828 8313466 10688742 12470199 16626932 21377484 24940398 37410597 49880796 74821194 149642388